Analyzing Rate of Change: Function Table from (-1,3) to (17,18)

To solve the problem, let's determine whether the rate of change between each pair of consecutive points is consistent:

First, calculate the rate of change between the first and second points, $(-1, 3) \rightarrow (5, 8)$:

$\frac{\Delta Y}{\Delta X} = \frac{8 - 3}{5 - (-1)} = \frac{5}{6}$.

Next, calculate the rate of change between the second and third points, $(5, 8) \rightarrow (11, 13)$:

$\frac{\Delta Y}{\Delta X} = \frac{13 - 8}{11 - 5} = \frac{5}{6}$.

Finally, calculate the rate of change between the third and fourth points, $(11, 13) \rightarrow (17, 18)$:

$\frac{\Delta Y}{\Delta X} = \frac{18 - 13}{17 - 11} = \frac{5}{6}$.

All calculated rates of change are $\frac{5}{6}$, indicating a constant rate of change.

Therefore, the rate of change is uniform.